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Finding the Fourth Proportional to 39,983.22, 55,176.96 and 21,834

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Solution

The fourth proportional to 39,983.22, 55,176.96 and 21,834 is: 30,130.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,983.22 : 55,176.96 = 21,834 : x
  2. Step 2: Convert to fraction form
    39,983.22/55,176.96 = 21,834/x
  3. Step 3: Cross multiply
    39,983.22x = 55,176.96 × 21,834
  4. Step 4: Simplify right side
    39,983.22x = 1,204,733,744.64
  5. Step 5: Solve for x
    x = 1,204,733,744.64/39,983.22
  6. Step 6: Final answer
    x = 30,130.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.